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We study the structure of $^9_\Lambda$Be in the framework of three body $\alpha+\alpha+\Lambda$ cluster model using YNG-NF interaction with the Gaussian expansion method. Employing the complex scaling method, we obtain the energies of bound…

Nuclear Theory · Physics 2020-11-11 Qian Wu , Yasuro Funaki , Emiko Hiyama , Hongshi Zong

The structure of bound and resonance states of the hypernucleus $_{\Lambda}^{7}$Li is studied within a three-cluster model. This nucleus is considered a three-cluster structure consisting of $^{4}$He, a deuteron, and a lambda hyperon. The…

Nuclear Theory · Physics 2025-08-20 N. K. Kalzhigitov , S. Amangeldinova , V. S. Vasilevsky

We study nature of the low-lying resonance states in mirror nuclei $^{9}$Be and $^{9}$B. Investigations are performed within a three-cluster model. The model makes use of the hyperspherical harmonics, which provides convenient description…

Nuclear Theory · Physics 2017-10-11 V. S. Vasilevsky , K. Katō , N. Zh. Takibayev

We present a many-channel microscopic model that extends the three-cluster model previously formulated in \cite{2009NPA...V37}. This extended model incorporates multiple three-cluster configurations, which are subsequently reduced to a…

Nuclear Theory · Physics 2023-10-31 Yu. A. Lashko , V. S. Vasilevsky , V. I. Zhaba

We investigate geometric configurations of $\alpha$ ($^4$He nucleus) clusters in the second $J^\pi=2^+$ state of $^{12}$C, which has been discussed as a rotational band member of the second $0^+$ state, the Hoyle state. The ground and…

Nuclear Theory · Physics 2023-03-22 H. Moriya , W. Horiuchi , J. Casal , L. Fortunato

Motivated by the recently obtained HAL QCD potentials for the $N$-$\phi$, $N$-$J/\psi$, and $N$-$\eta_c$ interactions, we investigate the structure of the exotic nuclei $^{8}_{\phi}{\text{Be}}$, $^{8}_{J/\psi}{\text{Be}}$, and…

High Energy Physics - Phenomenology · Physics 2026-01-27 Hao Zhou , Xiang Liu

We investigate both bound and resonance states in 12C embedded in a three-\alpha-cluster continuum using two distinct three-cluster microscopic models. The first one relies on the Hyperspherical Harmonics basis to enumerate the channels…

Nuclear Theory · Physics 2013-05-30 V. S. Vasilevsky , F. Arickx , W. Vanroose , J. Broeckhove

The resonance states embedded in the three-cluster continuum of 6He and 6Be are obtained in the Algebraic Version of the Resonating Group Method. The model accounts for a correct treatment of the Pauli principle. It also provides the…

Nuclear Theory · Physics 2009-11-06 V. Vasilevsky , A. V. Nesterov , F. Arickx , J. Broeckhove

A two-cluster microscopic model is applied to study elastic alpha-alpha scattering and resonance structure of $^{8}$Be. The model is an algebraic version of the Resonating Group Method, which makes use complete set of oscillator functions…

Nuclear Theory · Physics 2020-06-09 V. O. Kurmangaliyeva , N. Kalzhigitov , N. Takibayev , V. S. Vasilevsky

The nature and structure of high-energy resonance states in $^{8}$Be, located just below and above the $p+^{7}$Li threshold, are investigated in detail. A microscopic many-cluster and many-channel model is employed to study the formation of…

Nuclear Theory · Physics 2025-04-01 V. I. Zhaba , Yu. A. Lashko , V. S. Vasilevsky

The bound state of \nuclide[6][\Lambda\Lambda]{He} is studied as a three-body ($\Lambda\Lambda\alpha$) system in a cluster effective field theory at leading order (LO). We find that the system exhibits the limit cycle which is associated…

Nuclear Theory · Physics 2016-04-20 S. -I. Ando , Y. Oh

The non-localized cluster model provides a new perspective on nuclear cluster effects and has been applied successfully to study cluster structures in various bound states and quasi-bound states (i.e., long-lived resonant states). In this…

Nuclear Theory · Physics 2020-04-22 Dong Bai , Zhongzhou Ren

A multi-channel algebraic scattering (MCAS) method has been used to solve coupled sets of Lippmann-Schwinger equations for the $\alpha$+${}^6$He cluster system, so finding a model spectrum for ${}^{10}$Be to more than 10 MeV excitation.…

Nuclear Theory · Physics 2017-05-24 K. Amos , L. Canton , P. R. Fraser , S. Karataglidis , J. P. Svenne , D. van der Knijff

We calculated the energy spectra of the neutron-rich He $\Lambda$ hypernuclei with $A=6$ to 9 within the framework of an $\alpha + \Lambda +Xn$ ($X=1$--4) cluster model using the cluster orbital shell model. The employed constituent…

Nuclear Theory · Physics 2023-05-05 Takayuki Myo , Emiko Hiyama

The structure of the mirror nuclei $^9$Be and $^9$B is studied in a microscopic $\alpha+ \alpha+ n$ and $\alpha+ \alpha+ p$ three-cluster model using a fully antisymmetrized 9-nucleon wave function. The two-nucleon interaction includes…

Nuclear Theory · Physics 2008-11-26 K. Arai , Y. Ogawa , Y. Suzuki , K. Varga

The resonance states of $^{4}H$, $^{4}He$ and $^{4}Li$, embedded in the three-cluster $d+N+N$ continuum, are investigated within a three-cluster model. The model treats the Pauli principle exactly and incorporates the Faddeev components for…

Nuclear Theory · Physics 2007-05-23 V. Vasilevsky , F. Arickx , J. Broeckhove , V. N. Romanov

The bound state spectra of the doublet states in three-electron atomic systems are investigated. By using different variational expansions we determine various bound state properties in these systems. Such properties include the…

Atomic Physics · Physics 2015-06-19 Alexei M. Frolov , Maria Belen Ruiz , David M. Wardlaw

Cluster structures of excited $^{10}$Be states are investigated with a hybrid model of dineutron condensate wave functions and $^6$He+$\alpha$ cluster wave functions. Two kinds of cluster states are theoretically suggested a few MeV above…

Nuclear Theory · Physics 2015-06-11 Fumiharu Kobayashi , Yoshiko Kanada-En'yo

We analyze the peculiarities of the interaction of the lambda hyperon with s-shell nuclei. The spectra of bound and scattering states are studied in the hypernuclei $_{\Lambda}^{2}$H, $_{\Lambda}^{3}$H, $_{\Lambda}^{4}$H, $_{\Lambda}^{4}$He…

Nuclear Theory · Physics 2025-12-15 N. K. Kalzhigitov , S. Amangeldinova , V. O. Kurmangaliyeva , V. S. Vasilevsky

Energy levels of the double $\Lambda$ hypernucleus, $^{11}_{\Lambda \Lambda}$Be are calculated within the framework of an $\alpha \alpha n \Lambda \Lambda$ five-body model. Interactions between constituent particles are determined so as to…

Nuclear Theory · Physics 2010-11-22 E. Hiyama , M. Kamimura , Y. Yamamoto , T. Motoba
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